- Started with
\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
29.5
- Applied simplify to get
\[\color{red}{x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)} \leadsto \color{blue}{(\left(a - x\right) * \left(\frac{y - z}{\left(1.0 + t\right) - z}\right) + x)_*}\]
29.5
- Using strategy
rm 29.5
- Applied fma-udef to get
\[\color{red}{(\left(a - x\right) * \left(\frac{y - z}{\left(1.0 + t\right) - z}\right) + x)_*} \leadsto \color{blue}{\left(a - x\right) \cdot \frac{y - z}{\left(1.0 + t\right) - z} + x}\]
29.5
- Using strategy
rm 29.5
- Applied add-sqr-sqrt to get
\[\left(a - x\right) \cdot \frac{y - z}{\color{red}{\left(1.0 + t\right) - z}} + x \leadsto \left(a - x\right) \cdot \frac{y - z}{\color{blue}{{\left(\sqrt{\left(1.0 + t\right) - z}\right)}^2}} + x\]
29.9
- Applied add-sqr-sqrt to get
\[\left(a - x\right) \cdot \frac{\color{red}{y - z}}{{\left(\sqrt{\left(1.0 + t\right) - z}\right)}^2} + x \leadsto \left(a - x\right) \cdot \frac{\color{blue}{{\left(\sqrt{y - z}\right)}^2}}{{\left(\sqrt{\left(1.0 + t\right) - z}\right)}^2} + x\]
30.2
- Applied square-undiv to get
\[\left(a - x\right) \cdot \color{red}{\frac{{\left(\sqrt{y - z}\right)}^2}{{\left(\sqrt{\left(1.0 + t\right) - z}\right)}^2}} + x \leadsto \left(a - x\right) \cdot \color{blue}{{\left(\frac{\sqrt{y - z}}{\sqrt{\left(1.0 + t\right) - z}}\right)}^2} + x\]
30.2
- Applied taylor to get
\[\left(a - x\right) \cdot {\left(\frac{\sqrt{y - z}}{\sqrt{\left(1.0 + t\right) - z}}\right)}^2 + x \leadsto \left(a - \left(1.0 \cdot \frac{x}{z} + x\right)\right) + x\]
29.1
- Taylor expanded around inf to get
\[\color{red}{\left(a - \left(1.0 \cdot \frac{x}{z} + x\right)\right)} + x \leadsto \color{blue}{\left(a - \left(1.0 \cdot \frac{x}{z} + x\right)\right)} + x\]
29.1
- Applied simplify to get
\[\left(a - \left(1.0 \cdot \frac{x}{z} + x\right)\right) + x \leadsto a - (1.0 * \left(\frac{x}{z}\right) + 0)_*\]
12.0
- Applied final simplification